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Chapter 8: Problem 17

An online store contacts 1000 customers from its list of customers who have purchased in the last year. In all, 696 of the 1000 say that they are very satisfied with the store's website. The population in this setting is (a) all customers who have purchased something in the last year- (b) the 1000 customers contacted. (c) the 696 customers who were very satisfied with the store's website.

Short Answer

Expert verified
The population is (a) all customers who have purchased something in the last year.

Step by step solution

01

Understanding the Population Concept

In statistics, the 'population' refers to the entire group about which information is desired. It includes all elements from a set of data.
02

Identify the Groups Mentioned

Let's break down the groups mentioned: (a) All customers who have purchased something in the last year. (b) The 1000 customers contacted by the store. (c) The 696 customers who were very satisfied with the store's website.
03

Analyzing Each Option

(a) represents the full potential group that could be of interest to the study since it includes every single person who made a purchase in the last year. (b) is a subset of that population, used to collect data but not the entire group of interest. (c) is a subset of those contacted and specifically refers to those who provided positive feedback.
04

Determine the Appropriate Population

Considering the definition of a population, (a) is the correct choice because it includes every customer who has purchased in the last year; therefore, it represents the entire group the store is interested in regarding their satisfaction.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Survey Sampling
Survey sampling is an essential concept in understanding how data is collected from a larger population. Imagine a large online store wanting to know how satisfied its customers are.
They can't possibly contact every customer due to constraints like time and resources. Instead, they opt to contact a representative group鈥攖his is known as a sample.
  • Sampling helps gain insights into the larger population without needing to survey everyone.
  • A sample should ideally be representative of the entire population to ensure accuracy in results.
In the context of our exercise, the store surveyed 1,000 customers out of potentially thousands more.
This smaller number was meant to represent all customers who've made a purchase in the last year.
If chosen correctly, this sample should provide a trustworthy snapshot of the entire customer's population satisfaction level.
Customer Satisfaction Analysis
Customer satisfaction analysis is crucial for businesses aiming to understand the level of contentment their customers feel about a service or product.
This analysis is often done through surveys, as seen with the online store.
In our exercise, the store aimed to gauge the satisfaction level of its customer base from the past year
  • Out of the 1,000 contacted customers, 696 reported being very satisfied.
  • This feedback is invaluable as it directly highlights areas of success and potential improvement.
Such analysis helps businesses make data-driven decisions to enhance the customer experience.
For a company, knowing that a high percentage of their surveyed customers are satisfied can be an indicator of strong performance in customer service or product quality.
Subset Identification
Subset identification is a key statistical concept that involves recognizing a smaller group within a larger population.
In our example, subset identification was used to distinguish between different groups:
  • The entire customer base from the past year is the broadest population group.
  • The 1,000 surveyed represent a subset chosen for data collection purposes.
  • Among those surveyed, the 696 customers who reported high satisfaction form another subset focused specifically on positive feedback.
This hierarchical arrangement helps in organizing and understanding data.
It allows businesses to make precise observations about smaller, more specific segments within a larger group.
Accurate subset identification is important for businesses to target their strategies effectively depending on customer feedback or other parameters they aim to measure.

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Most popular questions from this chapter

Importance of childhood vaccinations. The debate about childhood vaccinations became a major news issue in late 2014 and early 2015 , with the CDC reporting that the "United States experienced a record number of measles cases during 2014 , with 668 cases from 27 states reported. This is the greatest number of cases since measles elimination was documented in the U.S. in 2000." According to the same report by the CDC, "the majority of people who got measles were unvaccinated." A Gallup Poll asked the following question: "How important is it that parents get their children vaccinated-extremely important, very important, somewhat important, or not at all important? ? \(^{\text {im }}\) According to the survey methods section, "Results for this Gallup poll are based on telephone interviews conducted February 28 -March 1, 2015, with a random sample of 1,015 adults, aged 18 and older, living in all 50 U.S. states and the District of Columbia. "21 (a) What is the population for this sample survey? (b) What is the sample?

Student Archaeologists. An archaeological dig turns up large numbers of pottery shards, broken stone implements, and other artifacts. Students working on the project classify each artifact and assign it a number. The counts in different categories are important for understanding the site, so the project director chooses \(2 \%\) of the artifacts at random and checks the students' work. What are the population and the sample here?

Gays in the Military. In 2010, a Quinnipiac University Poll and a CNN Poll each asked a nationwide sample about their views on openly gay men and women serving in the military.- \({ }^{12}\) Here are the two questions: Question A: Federal law currently profibits openly gay men and women from serving in the military. Do you think this low should be repealed or not? Question B: Do you think people who are openly gay or homosexual should or should not be allowed to serve in the U.S. militury? One of these questions had \(78 \%\) responding "should," and the other question had only \(57 \%\) responding "should." Which wording is slanted toward a more negative response on gays in the military? Why?

You must choose an SRS of 10 of the 440 retail outlets in New York that sell your company's products. How would you label this population to select a simple random sample? (a) \(001,002,003, \ldots, 439,440\) (b) \(000,001,002, \ldots, 439,440\) (c) \(1,2, \ldots, 439,440\)

Nonresponse. Academic sample surveys, unlike commercial polls, often discuss nonresponse. A survey of drivers began by randomly sampling all listed residential telephone numbers in the United States. Of 45,956 calls to these numbers, 5029 were completed.27 What was the rate of nonresponse for this sample? (Only one call was made to each number. Nonresponse would be lower if more calls were made-)
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